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Finding the Fourth Proportional to 2,722.92, 4,083.58 and 1,423.68

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Solution

The fourth proportional to 2,722.92, 4,083.58 and 1,423.68 is: 2,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.92 : 4,083.58 = 1,423.68 : x
  2. Step 2: Convert to fraction form
    2,722.92/4,083.58 = 1,423.68/x
  3. Step 3: Cross multiply
    2,722.92x = 4,083.58 × 1,423.68
  4. Step 4: Simplify right side
    2,722.92x = 5,813,711.17
  5. Step 5: Solve for x
    x = 5,813,711.17/2,722.92
  6. Step 6: Final answer
    x = 2,135.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.